A bar operator for involutions in a Coxeter group

Lusztig, George

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A bar operator for involutions in a Coxeter group

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Lusztig_A Bar (arxiv).pdf

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330.41 KB

Format

Adobe PDF

Checksum (MD5)

86cef3bc1a92a40962c5c21d90018fae

Author(s)

Lusztig, George

Journal

Bulletin of the Institute of Mathematics Academia Sinica NS

Publisher

Institute of Mathematics, Academia Sinica

Citation

Lusztig, George. "A bar operator for involutions in a Coxeter group." Bulletin of the Institute of Mathematics Academia Sinica (New Series) 7.3 (September 2012), p. 355-404.

Version

Author's final manuscript

Abstract

In [LV] the authors defined a Hecke algebra action and a bar involution on a vector space spanned by the involutions in a Weyl group. In this paper we give a new definition of the Hecke algebra action and the bar operator which, unlike the one in [LV], is completely elementary (does not use geometry) and in particular it makes sense for an arbitrary Coxeter group.

MIT Department

Massachusetts Institute of Technology. Department of Mathematics

Terms of Use

Creative Commons Attribution-Noncommercial-Share Alike 3.0

http://creativecommons.org/licenses/by-nc-sa/3.0/

Persistent DSpace Link

http://hdl.handle.net/1721.1/71689

DOI of Published Version

http://w3.math.sinica.edu.tw/bulletin_ns/20123/2012302.pdf